The sum of 10 values is 100 and the sum of their squares is 1090. Find out the Coefficient of Variation.
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Calculate the Mean Deviation using mean and Standard Deviation for the following distribution.
Classes
Frequencies
20 - 40
3
40 - 80
If in the previous question, each worker is given a hike of 10% in wages, how are the Mean and Standard Deviation values affected?
Average daily wage of 50 workers of a factory was Rs 200 with a Standard Deviation of Rs 40. Each worker is given a raise of Rs 20. What is the new average daily wage and Standard Deviation? Have the wages become more or less uniform?
To check the quality of two brands of light bulbs, their life in burning hours was estimated as under for 100 bulbs of each brand.
Life
No. of bulbs
(in hrs)
A batsman is to be selected for a cricket team. The choice is between X and Y on the basis of their scores in five previous tests which are:
X
25
85
40
80
In the previous question, calculate the relative measures of variation and indicate the value which, in your opinion, is more reliable.
he yield of wheat and rice per acre for 10 districts of a state is as under:
District
1
2
4
5
In a town, 25% of the persons earned more than Rs 45,000 whereas 75% earned more than 18,000. Calculate the absolute and relative values of dispersion.
Some measures of dispersion depend upon the spread of values whereas some are estimated on the basis of the variation of values from a central value. Do you agree?
Which measure of dispersion is the best and how?
A measure of dispersion is a good supplement to the central value in understanding a frequency distribution. Comment.